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Adaptive multiresolution approach for two-dimensional PDEs
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DOI：10.1016/j.cma.2003.10.005.png)
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摘要
En 中文
A multiresolution adaptive approach for the solution of two-dimensional partial differential equations (PDEs) is presented. This methodology is a multidimensional extension of that presented in a previous work [Comput. Methods Appl. Mech Engrg. 191 (2002) 3909]. The method proposed is unconditionally stable, by incorporating convection automatically allocated to domain regions where strong gradients are observed. The two desired properties of any PDE solver, stability and accuracy, are therefore retained. Numerical results for four test problems are presented which serve to demonstrate the robustness and cost effectiveness of the method. (C) 2003 Elsevier B.V. All rights reserved.
Keyword:
adaptive grid
CUBISTA high-resolution scheme
multiresolution
hyperbolic equations
wavelet
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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